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A note on decompositions of transitive tournaments

✍ Scribed by Agnieszka Görlich; Rafał Kalinowski; Mariusz Meszka; Monika Pilśniak; Mariusz Woźniak


Book ID
108113603
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
177 KB
Volume
307
Category
Article
ISSN
0012-365X

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On a conjecture of Brualdi and Shen on b
✍ P. Acosta; A. Bassa; A. Chaikin; A. Riehl; A. Tingstad; L. Zhao; D. J. Kleitman 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 167 KB

## Abstract The following conjecture of Brualdi and Shen is proven in this paper: let __n__ be partitioned into natural numbers no one of which is greater than (__n__ + 1) / 2. Then, given any sequence of wins for the players of some tournament among n players, there is a partition of the players i